66261825 has 36 divisors (see below), whose sum is σ = 135640128. Its totient is φ = 30290400.

The previous prime is 66261823. The next prime is 66261841. The reversal of 66261825 is 52816266.

66261825 is a `hidden beast` number, since 6 + 626 + 1 + 8 + 25 = 666.

66261825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66261825 - 2¹ = 66261823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66261825.

It is not an unprimeable number, because it can be changed into a prime (66261821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19461 + ... + 22610.

Almost surely, 2^66261825 is an apocalyptic number.

It is an amenable number.

66261825 is an abundant number, since it is smaller than the sum of its proper divisors (69378303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66261825 is a wasteful number, since it uses less digits than its factorization.

66261825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42094 (or 42086 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 66261825 is about 8140.1366696143. The cubic root of 66261825 is about 404.6576897239.

The spelling of 66261825 in words is "sixty-six million, two hundred sixty-one thousand, eight hundred twenty-five".